(dy)/(dx)=sqrt(6y)e^{x+4}

Lösung

\frac{d y}{d x} = 6 y e^{x + 4}

y = \frac{3 e ^{8 + 2 x}}{2} + \frac{3 c _{1} e ^{4 + x}}{2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 6 y e^{x + 4}

Solve separable ODE:

y = \frac{3 e ^{8 + 2 x}}{2} + \frac{3 c _{1} e ^{4 + x}}{2} + \frac{c _{1}^{2}}{4}

y = \frac{3 e ^{8 + 2 x}}{2} + \frac{3 c _{1} e ^{4 + x}}{2} + \frac{c _{1}^{2}}{4}

d er i v a t i v e t^{2} + 2 t - 3

\frac{\partial}{\partial x} (\frac{( x - y )}{x})

n = 1 \sum \infty \frac{2}{3 n + 9}

\int_{l n (x)}^{1} sin^{3} (u) d u

a re a y = x^{3} - 12 x^{2} + 32 x, - x^{3} + 12 x^{2} - 32 x